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Finding the Fourth Proportional to 2,000.23, 2,757.44 and 1,552.70

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Solution

The fourth proportional to 2,000.23, 2,757.44 and 1,552.70 is: 2,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.23 : 2,757.44 = 1,552.70 : x
  2. Step 2: Convert to fraction form
    2,000.23/2,757.44 = 1,552.70/x
  3. Step 3: Cross multiply
    2,000.23x = 2,757.44 × 1,552.70
  4. Step 4: Simplify right side
    2,000.23x = 4,281,487.86
  5. Step 5: Solve for x
    x = 4,281,487.86/2,000.23
  6. Step 6: Final answer
    x = 2,140.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.